What happened to all of the summation signs??
You're trying to prove something about the entire summation , not the individual term .
So, I'm trying to use induction to prove:
Base case is true.
This next step is what seems to cause the problems. If the 3/4 on the LHS was not in brackets, everything would be fine and become = when I multiply the other term by -1/3; however, by multiplying the 3/4 by -1/3 it makes them not equal:
What am I doing wrong?